Question

What is -3/4x - 1/3 + 7/8x - 1/2 written in siplest form?

help me pls

Answer 1

Answer: 1/8x - 5/6

Explanation:

Let's move the similar terms of the problem together.

So first we have:

-3/4x + 7/8x

And then we have:

-1/3 - 1/2

So to add/subtract fractions, the denominators have to be equal. We can change the -3/4 into -6/8 by just multiplying by 2/2 which is just 1. (Anything multiplied by 1 is just itself). So then we have:

-6/8x + 7/8x ---> 1/8x

Next, the second part.

Since neither denominators (3 or 2) can turn into one another by multiplying them with a number, we'll just multiply them with the opposite denominator.
So then we have:

-1/3 * (2/2) = -2/6
-1/2 * (3/3) = -3/6

-2/6 - 3/6 = -5/6

So finally we have:

1/8x - 5/6